CONVERGENCE OF FINITE-ELEMENT METHOD FOR A CLASS OF ELASTIC-PLASTIC SOLIDS

被引：10

作者：

HAVNER, KS ^{[1
]}

PATEL, HP ^{[1
]}

机构：

[1] N CAROLINA STATE UNIV, RALEIGH, NC 27607 USA

来源：

QUARTERLY OF APPLIED MATHEMATICS | 1976年 / 34卷 / 01期

关键词：

SOLIDS - Mechanical Properties;

D O I：

10.1090/qam/449142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A proof of convergence of the finite-element method in rate-type, quasi-static boundary value problems is presented. The bodies considered may be discretely heterogeneous and elastically anisotropic, their plastic behavior governed by history-dependent, piecewise-linear yield functions and fully coupled hardening rules. Elastic moduli are required to be positive-definite and plstic moduli nonnegative-definite. Precise and complete arguments are given in the case of bodies whose surfaces are piecewise plane.

引用

页码：59 / 68

页数：10

共 22 条

[1]

BISHOP JFW, 1951, PHILOS MAG, V42, P1298

[2]

Budiansky B, 1961, P 4 US C APPL MECH, P1175

[3]

de Donato O., 1973, Computer Methods in Applied Mechanics and Engineering, V2, P107, DOI 10.1016/0045-7825(73)90010-8

[4] SOME IMPLICATIONS OF WORK HARDENING AND IDEAL PLASTICITY [J].

DRUCKER, DC .

QUARTERLY OF APPLIED MATHEMATICS, 1950, 7 (04) :411-418

[5]

DRUCKER DC, 1958, P S APPL MATH, V8, P7

[6]

Havner K. S., 1974, International Journal of Solids and Structures, V10, P853, DOI 10.1016/0020-7683(74)90028-6

[7]

Havner K. S., 1971, International Journal of Solids and Structures, V7, P1269, DOI 10.1016/0020-7683(71)90067-9

[8]

Havner K. S., 1971, International Journal of Solids and Structures, V7, P719, DOI 10.1016/0020-7683(71)90089-8

[9]

Havner K. S., 1973, International Journal of Solids and Structures, V9, P379, DOI 10.1016/0020-7683(73)90087-5

[10] GENERALIZED CONSTITUTIVE RELATIONS FOR INCREMENTAL DEFORMATION OF METAL CRYSTALS BY MULTISLIP [J].

HILL, R .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1966, 14 (02) :95-&

← 1 2 3 →